Deterministic remote preparation of multi-qubit equatorial states through dissipative channels

doi:10.1088/1674-1056/acdc0f

中国物理B ›› 2023, Vol. 32 ›› Issue (11): 110307-110307.doi: 10.1088/1674-1056/acdc0f

Deterministic remote preparation of multi-qubit equatorial states through dissipative channels

Liu-Yong Cheng(程留永)^1,†, Shi-Feng Zhang(张世凤)¹, Zuan Meng(孟钻)¹, Hong-Fu Wang(王洪福)², and Shou Zhang(张寿)²

1 School of Physics and Information Engineering, Shanxi Normal University, Taiyuan 030031, China;
2 Department of Physics, College of Science, Yanbian University, Yanji 133002, China

收稿日期:2023-02-25 修回日期:2023-05-10 接受日期:2023-06-07 出版日期:2023-10-16 发布日期:2023-11-03
通讯作者: Liu-Yong Cheng E-mail:lycheng@sxnu.edu.cn
基金资助:
Project supported by the Fundamental Research Program of Shanxi Province (Grant No. 202203021211260).

Deterministic remote preparation of multi-qubit equatorial states through dissipative channels

Liu-Yong Cheng(程留永)^1,†, Shi-Feng Zhang(张世凤)¹, Zuan Meng(孟钻)¹, Hong-Fu Wang(王洪福)², and Shou Zhang(张寿)²

1 School of Physics and Information Engineering, Shanxi Normal University, Taiyuan 030031, China;
2 Department of Physics, College of Science, Yanbian University, Yanji 133002, China

Received:2023-02-25 Revised:2023-05-10 Accepted:2023-06-07 Online:2023-10-16 Published:2023-11-03
Contact: Liu-Yong Cheng E-mail:lycheng@sxnu.edu.cn
Supported by:
Project supported by the Fundamental Research Program of Shanxi Province (Grant No. 202203021211260).

摘要/Abstract

摘要： We investigate the influence of a noisy environment on the remote preparation of the multi-qubit equatorial state, and specifically deduce the final states and fidelities of the remote preparation of the three-qubit and four-qubit equatorial states under diverse types of noisy environments, namely, amplitude damping, bit flip, phase damping, phase flip, bit-phase flip, depolarization, and non-Markov environments. The results show that when the decoherence factors of the front six noises are equal, the influence degrees of phase damped noise, bit flip noise, phase flip noise, and bit-phase flip noise are similar, while the information loss caused by the amplitude damped noise and depolarizing noise is less. In particular, the bit flip noise and depolarizing noise may have more complex effects on the remote state preparation (RSP) schemes depending on the phase information of the target states, even for the ideal cases where the fidelity values are always 1 for specific phase relations. In the non-Markov environment, owing to the back and forth of information between the environment and systems, fidelities exhibit oscillating behavior and the minimum value may stay greater than zero for a long evolutionary time. These results are expected to have potential applications for understanding and avoiding the influence of noise on remote quantum communication and quantum networks.

关键词: remote state preparation, dissipative channel, equatorial state, fidelity

Abstract: We investigate the influence of a noisy environment on the remote preparation of the multi-qubit equatorial state, and specifically deduce the final states and fidelities of the remote preparation of the three-qubit and four-qubit equatorial states under diverse types of noisy environments, namely, amplitude damping, bit flip, phase damping, phase flip, bit-phase flip, depolarization, and non-Markov environments. The results show that when the decoherence factors of the front six noises are equal, the influence degrees of phase damped noise, bit flip noise, phase flip noise, and bit-phase flip noise are similar, while the information loss caused by the amplitude damped noise and depolarizing noise is less. In particular, the bit flip noise and depolarizing noise may have more complex effects on the remote state preparation (RSP) schemes depending on the phase information of the target states, even for the ideal cases where the fidelity values are always 1 for specific phase relations. In the non-Markov environment, owing to the back and forth of information between the environment and systems, fidelities exhibit oscillating behavior and the minimum value may stay greater than zero for a long evolutionary time. These results are expected to have potential applications for understanding and avoiding the influence of noise on remote quantum communication and quantum networks.

Key words: remote state preparation, dissipative channel, equatorial state, fidelity

中图分类号: (Quantum information)

03.67.-a

03.67.Hk (Quantum communication) 03.65.Ud (Entanglement and quantum nonlocality)

Liu-Yong Cheng(程留永), Shi-Feng Zhang(张世凤), Zuan Meng(孟钻), Hong-Fu Wang(王洪福), and Shou Zhang(张寿). Deterministic remote preparation of multi-qubit equatorial states through dissipative channels[J]. 中国物理B, 2023, 32(11): 110307-110307.

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Deterministic remote preparation of multi-qubit equatorial states through dissipative channels

Deterministic remote preparation of multi-qubit equatorial states through dissipative channels

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